• Title/Summary/Keyword: problem posing program

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A case study on the development and practice of lessons for mathematics-oriented convergence through the professional development of multi-tiered teacher community (공동체단위의 연수를 통해 나타난 고등학교 수학 중심 융합수업의 개발 및 적용 사례)

  • Kwon, Oh Nam;Park, Jaehee;Oh, Kukhwan;Bae, Young Gon
    • The Mathematical Education
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    • v.53 no.3
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    • pp.357-381
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    • 2014
  • This study analyzed the cases of three teacher communities participating in an innovative professional development program and clarified the characteristics and the process of lessons for mathematics-oriented convergence that were developed and applied during the program. Each of the teacher communities designed and implemented lessons according to the context of each community and the concept of lessons for mathematics-oriented convergence were developed and refined. The lessons developed by the three teacher communities were characterized as convergence problem posing lessons using technology, convergence of various subject content focused on mathematical concepts through team teaching, and convergence lessons according to students' achievement levels. The program contributed to teacher community activities by proving sustainable professional development in the area of convergence education, a connection between the content of their professional development and the context of the field, and opportunities for active participation in the process of developing and implementing the convergence lessons.

Cultivating Mathematical Creativity through Open-ended Approaches: Development of a Program and Effectiveness Analysis (개방형 문제 중심의 프로그램이 수학적 창의력에 미치는 효과)

  • Kwon Oh Nam;Park Jung Sook;Park Jee Hyun;Cho Young Mi
    • The Mathematical Education
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    • v.44 no.2 s.109
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    • pp.307-323
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    • 2005
  • The purpose of this study was to develop a program to cultivate mathematical creativity based on open-ended problem and to investigate its effect. The major features of this innovative program are (a) breaking up fixations, (b) multiple answers, (c) various strategies, (d) problem posing, (e) exploring strategies, (f) selecting and estimating, (g) active exploration through open-ended problems. 20 units for 7th grade mathematics were developed. This study hypothesizes that experimental students may develop more divergent thinking abilities than their traditional counterparts. The participants were 7th grade students attending middle schools in Seoul. Instruments were pre and post tests to measure mainly divergent thinking skills through open-ended problems. The results indicated that the experimental students achieved better than the comparison students on overall and each component of fluency, flexibility, and originality of divergent thinking skills, when deleting the effect of covariance of the pretest. The developed program can be a useful resource for teachers to use in enhancing their students' creative thinking skills. Further this open-ended approach can be served as a model to implement in classes. This study suggests that further investigations are needed in order to examine effects on affective domains such as motivation and task perseverance which are also considered as important factors of creativity.

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A Study on Constructing the Model of Problem Based Learning in the View of Situated Learning (문제중심 학습의 모델 설정)

  • Shin, Hyun-Sung;Yun, Jae-Ueun
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.401-413
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    • 2007
  • This study was some part of the main program making better the lessons in the classroom in which those should focus on the creative and self-leading method. The purpose of study was to create the model of Problem Based Learning and investigate its efficiency For the purpose, those researchers tried to reform the Myers' PBL model through the pilot experiment and could get the Model of Korean School PBL appropriate to the our classroom situations. Thirty six students from the enriched class in the junior high school 3rd grades was involved in the experiment for 8 weeks. The results showed that the experimental group had statistically significant difference in the real problem solving test and attitude test. Specially, those students also showed that the ability to translate the variety of problem situations mathematically was so excellent and they also had their own technique to generate the understand of problem solving situations, but they aid not show the significant ability to pose the meaningful problem.

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A Case Analysis on Mathematical Problems Posed by Teachers in Gifted Education (수학영재 지도교사의 문제만들기 사례분석)

  • Paek, Dae-Hyun;Yi, Jin-Hee
    • School Mathematics
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    • v.11 no.2
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    • pp.207-225
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    • 2009
  • Well posed problems for mathematically gifted students provide an effective method to design 'problem solving-centered' classroom activities. In this study, we analyze mathematical problems posed by teachers in distance learning as a part of an advanced training which is an enrichment in-service program for gifted education. The patterns of the teacher-posed problems are classified into three types such as 'familiar,' 'unfamiliar,' and 'fallacious' problems. Based on the analysis on the teacher-posed problems, we then suggest a practical plan for teachers' problem posing practices in distance learning.

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Development of Content System in Practical Problem-Based Home Economics Global Citizenship Education Program for Elementary School Students (실천적 문제 중심 프로그램 개발 과정에 따른 초등 가정과 세계시민교육 내용체계 개발)

  • Kwon, Boeun;Yu, Nan Sook
    • Journal of Korean Home Economics Education Association
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    • v.35 no.4
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    • pp.81-98
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    • 2023
  • The purpose of this study is to develop the global citizenship education program content system in the context of the 2022 revised home economics curriculum, recognizing the need for global citizenship education. The study is grounded in practical problem-based program. In the analysis stage, the educational trend requiring global citizenship education in the national curriculum was elucidated by analyzing the 2022 revised curriculum documents and future education documents related to global citizenship education. A framework for global citizenship education goals within home economics curriculum was designed. Accordingly, the educational goal of this curriculum, "Cultivation of family competencies linked to global citizenship competencies," was established by posing the perennial question, "As a global citizen, what actions should I take for sustainable choices related to the living environment?" In the design stage, four key ideas in the "Living Environment and Sustainable Choices" domain of the 2022 revised home economics curriculum for elementary school were analyzed to derive practical problems. In the development stage, content elements were derived based on four criteria. This study is significant in analyzing the need for global citizenship education within home economics context by analyzing documents related to global citizenship competencies for the future and examining the 2022 revised curriculum's general framework and home economics education curriculum.

Preservice elementary teachers' pedagogical content knowledge of addition and subtraction (예비초등교사의 덧셈과 뺄셈에 관한 교수학적 지식)

  • 이종욱
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.447-462
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    • 2003
  • The purpose of this study was to Investigate the preservice elementary teachers' pedagogical content knowledge of addition and subtraction. The subjects for data collection were 29 preservice elementary teachers and data were collected through open ended problems. The findings imply that the preservice elementary teachers show low level of understanding of addition and subtraction such as the word problem posing and the contexts of part-part-whole and compare. The research results indicate that the preservice elementary teachers possess primarily a procedural knowledge of pedagogical content knowledge and don't understand relationship with real-world situation. This study provide the information available on developing program for preservice elementary teachers.

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A Study on Elementary School Students' Understanding of Fractions (초등학생의 분수이해에 관한 연구)

  • 권성룡
    • School Mathematics
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    • v.5 no.2
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    • pp.259-273
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    • 2003
  • A fraction is one of the most important concepts that students have to learn in elementary school. But it is a challenge for students to understand fraction concept because of its conceptual complexity. The focus of fraction learning is understanding the concept. Then the problem is how we can facilitate the conceptual understanding and estimate it. In this study, Moore's concept understanding scheme(concept definition, concept image, concept usage) was adopted as an theoretical framework to investigate students' fraction understanding. The questions of this study were a) what concept image do students have\ulcorner b) How well do students solve fraction problems\ulcorner c) How do students use fraction concept to generate fraction word problem\ulcorner By analyzing the data gathered from three elementary school, several conclusion was drawn. 1) The students' concept image of fraction is restricted to part-whole sub-construct. So is students' fraction understanding. 2) Students can solve part-whole fraction problems well but others less. This also imply that students' fraction understanding is partial. 3) Half of the subject(N=98) cannot pose problems that involve fraction and fraction operation. And some succeeded applied the concept mistakenly. To understand fraction, various fraction subconstructs have to be integrated as whole one. To facilitate this integration, fraction program should focus on unit, partitioning and quantity. This may be achieved by following activities: * Building on informal knowledge of fraction * Focusing on meaning other than symbol * Various partitioning activities * Facing various representation * Emphasizing quantitative aspects of fraction * Understanding the meanings of fraction operation Through these activities, teacher must help students construct various faction concept image and apply it to meaningful situation. Especially, to help students to construct various concept image and to use fraction meaningfully to pose problems, much time should be spent to problem posing using fraction.

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Applications of the Participatory Learning Process in Health Promotion (건강증진을 위한 참여 학습의 적용 사례)

  • Kim, Jang-Rak;Jeong, Baek-Geun;Park, Ki-Soo;Kang, Yune-Sik
    • Journal of agricultural medicine and community health
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    • v.36 no.2
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    • pp.130-142
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    • 2011
  • Objectives: This study was conducted to develop a participatory learning process and apply it to community empowerment for health promotion. Methods: The participatory learning sessions were composed of three stages according to the modified Freirean model of empowerment education. Stage 1 of generating themes (listening stage) was replaced with a community health forum. Stage 2 of problem-posing was executed via a two-session small group brainstorming discussion for selecting priority community health problems and strategies to solve them. Stage 3 of act-reflect-act, the implementation of the chosen strategies, is ongoing. We tested the feasibility of the participatory learning processes in the pilot programs for health education. Then, 14 Myeon (or Dong) Health Committee members used them in Health Plus Happiness Plus projects for community empowerment to achieve health equity in Gyeongsangnam-Do, Korea. Results: In the pilot program for feasibility, more than 80% of the 95 participants gave positive responses to evaluation questionnaires after three or four participatory learning sessions. Health Committee members successfully selected various strategies relevant to their communities with facilitation, but without any teaching from outside professionals. Conclusions: We successfully applied the participatory learning process to health promotion. However, more studies are warranted to evaluate its long-term applicability.